5. a) A card is drawn from a packet of numbered cards numbered from 1 to 20. If the
second card is also drawn without replacing the first one, find the probability of
each of the following events,
(i) Both of them are of the multiples of 5.
(ii) The first is of even number and the second prime number,
(iii) None of them are of multiples of 3.
(iv) Show these probabilities in a tree diagram.

Step-by-step explanation:

for this question you will need to do probability trees and take note that the card was not replaced after it had been taken out of the packet meaning that there is two less card in the packet.

i) 2/4 = 1/2

ii) 2/18 = 1/9

iii) 2/6 = 1/3

Unfortunately the photo of the tree diagram could not be loaded

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.